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12700255680 = 26345769997
BaseRepresentation
bin10111101001111111…
…01000010111000000
31012210002202211120000
423310333220113000
5202002231140210
65500122320000
7626503251330
oct136477502700
935702684500
1012700255680
115427a66082
122565359000
1312752633b8
14886a210c0
154e4e93ac0
hex2f4fe85c0

12700255680 has 280 divisors, whose sum is σ = 51631644768. Its totient is φ = 2902874112.

The previous prime is 12700255657. The next prime is 12700255697. The reversal of 12700255680 is 8655200721.

It is a happy number.

12700255680 is a `hidden beast` number, since 1 + 2 + 70 + 0 + 25 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-2 number, since 2×127002556802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 146442 + ... + 216438.

Almost surely, 212700255680 is an apocalyptic number.

12700255680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12700255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25815822384).

12700255680 is an abundant number, since it is smaller than the sum of its proper divisors (38931389088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12700255680 is an equidigital number, since it uses as much as digits as its factorization.

12700255680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70033 (or 70014 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 12700255680 in words is "twelve billion, seven hundred million, two hundred fifty-five thousand, six hundred eighty".